Centripetal and Non-Uniform Circular Motion

The video tutorial covers the concepts of circular motion, distinguishing between uniform and non-uniform circular motion. It explains the properties of uniform circular motion, where the speed remains constant but the direction changes, leading to centripetal acceleration. The tutorial also discusses non-uniform circular motion, where both speed and direction change, resulting in tangential and radial accelerations. Mathematical formulations and equations related to these concepts are presented to provide a comprehensive understanding of circular motion dynamics.

What are the two types of circular motion discussed in the introduction?

• Horizontal and Vertical

• Static and Dynamic

• Uniform and Non-Uniform

• Linear and Angular

In uniform circular motion, what remains constant?

• Direction

• Mass

• Acceleration

• Speed

What changes in uniform circular motion despite constant speed?

• Time

• Direction

• Mass

• Distance

What is the name of the acceleration that points towards the center of the circle in circular motion?

• Linear Acceleration

• Centripetal Acceleration

• Angular Acceleration

• Tangential Acceleration

Centripetal force is related to which of the following?

• Mass and Velocity

• Time and Distance

• Height and Width

• Speed and Direction

In non-uniform circular motion, what type of acceleration arises due to changing speed?

• Centripetal Acceleration

• Angular Acceleration

• Linear Acceleration

• Tangential Acceleration

What distinguishes non-uniform circular motion from uniform circular motion?

• Changing Mass

• Constant Direction

• Changing Speed

• Constant Speed

Which mathematical relationship is used to describe angular velocity in non-uniform circular motion?

• s = t * v

• a = v^2 / r

• v = r * omega

• F = m * a

What is the formula for angular acceleration in terms of tangential acceleration and radius?

• alpha = r / a_t

• alpha = r^2 / a_t

• alpha = a_t * r

• alpha = a_t / r

How is the angular displacement calculated in non-uniform circular motion?

• Theta = v * t + 1/2 * a * t^2

• Theta = Omega^2 * t + Alpha

• Theta = Omega * t + 1/2 * Alpha * t^2

• Theta = r * Omega + Alpha * t